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A bathroom is shaped like a rectangular prism. The walls are 9 feet high, and the floor
is completely covered with 173 square feet of tile. What is the volume of the bathroom?

A bathroom is shaped like a rectangular prism The walls are 9 feet high and the floor is completely covered with 173 square feet of tile What is the volume of t class=

Respuesta :

semsee45

Answer:

1557 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying its base area by its height:

[tex]\Large\boxed{\rm Volume = Base \;Area \times Height}[/tex]

In this case, the base area is the floor of the bathroom, which is 173 square feet, and the height is the height of the walls, which is 9 feet.

Substitute these values into the volume formula:

[tex]\rm Volume = 173\; ft^2 \times 9 \; ft\\\\\\\rm Volume = 1557 \; ft^3\\\\\\[/tex]

Therefore, the volume of the bathroom is 1557 cubic feet.

Hi1315

Answer:

1557 ft³

Step-by-step explanation:

Given:

- Height of the walls (h): 9 feet

- Area of the floor (A): 173 square feet

The volume (V) of the bathroom can be calculated as:

[tex]V = A \times h \\\\V = 173 \, \text{sq ft} \times 9 \, \text{ft} \\\\V = 1557 \, \text{cubic feet}[/tex]

So, the volume of the bathroom is 1557 cubic feet.

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